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Finding the Third Proportional to 5,955.75 and 13,091.63

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Solution

The third proportional to 5,955.75 and 13,091.63 is: 28,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.75 : 13,091.63 = 13,091.63 : x
  2. Step 2: Convert to fraction form
    5,955.75/13,091.63 = 13,091.63/x
  3. Step 3: Cross multiply
    5,955.75x = 13,091.63 × 13,091.63
  4. Step 4: Simplify right side
    5,955.75x = 171,390,645.14
  5. Step 5: Solve for x
    x = 171,390,645.14/5,955.75
  6. Step 6: Final answer
    x = 28,777.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.